Chapter 8 Review Name _______________________

Honors Geometry

1. Given: TRAP is an isosceles trapezoid with bases RA and TP

M is the midpoint of TR

1 2

Prove: SP RM TQ OP

2. A radio antenna that is 100 m tall casts an 80-m shadow. At the same time, a nearby

telephone pole casts a 16-m shadow. Find the height of the telephone pole.

3. Find the 2nd proportional if the 1st, 3rd, and 4th are 6, 8, and 9.

4. Find the geometric and arithmetic mean between 3 and 9.

Q P T

A R

S

1 2 M

O

5. 8 is the mean proportional between 3 and what number?

6. If mx – ny = py + qx, find the ratio of x to y.

7. If 8 5

2x 3y x 2y

, find the ratio of x to y.

8. A scale model of the Titanic is 18 ½ inches long. The scale is 1:570. To the nearest

foot, how long was the Titanic?

9. Given: WINT is a parallelogram

1 2

Prove: IE TO = TR IM

10. Answer Always, Sometimes, or Never:

a. If 2 triangles are similar, then they are congruent. __________

b. If 2 triangles are congruent, then they are similar. __________

c. Two squares are similar to each other. _________

d. Two rhombi are similar to each other. _________

e. If two quadrilaterals are similar, the ratio of their perimeters is equal to the ratio

of their corresponding sides. _________

W

R E

T

N I

2

1

W O

M